Least Common Multiple of 6874 and 6880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6874 and 6880 the smallest integer that is 23646560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6874 and 6880 is 23646560.

LCM(6874,6880) = 23646560

LCM of 6874 and 6880

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6874 and 6880

LCM of 6874 and 6880 is 23646560

Least common multiple can be found by multiplying the highest exponent prime factors of 6874 and 6880. First we will calculate the prime factors of 6874 and 6880.

Prime Factorization of 6874


2 6874
7 3437
491 491
1

Prime factors of 6874 are 2, 7,491. Prime factorization of 6874 in exponential form is:

6874 = 21×71×4911

Prime Factorization of 6880


2 6880
2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 6880 are 2, 5,43. Prime factorization of 6880 in exponential form is:

6880 = 25×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6880.

LCM(6874,6880) = 25×51×71×431×4911
LCM(6874,6880) = 23646560

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1, 2, 7, 14, 491, 982, 3437, 6874

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880

Least Common Multiple of 6874 and 6880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6874 and 6880, than apply into the LCM equation.

GCF(6874,6880) = 2
LCM(6874,6880) = ( 6874 × 6880) / 2
LCM(6874,6880) = 47293120 / 2
LCM(6874,6880) = 23646560

Properties of LCM 6874 and 6880

(i) The LCM of 6880 and 6874 is associative

LCM of 6874 and 6880 = LCM of 6880 and 6874

Related Least Common Multiples of 6874

Related Least Common Multiples of 6880

Frequently Asked Questions on LCM of 6874 and 6880

1. What is the LCM of 6874 and 6880?

Answer: LCM of 6874 and 6880 is 23646560.

2. What are the Factors of 6874?

Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.

3. What are the Factors of 6880?

Answer: Factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880. There are 24 integers that are factors of 6880. The greatest factor of 6880 is 6880.

4. How to Find the LCM of 6874 and 6880?

Answer:

Least Common Multiple of 6874 and 6880 = 23646560

Step 1: Find the prime factorization of 6874

6874 = 2 x 7 x 491

Step 2: Find the prime factorization of 6880

6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23646560 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 43 x 491

Step 4: Therefore, the least common multiple of 6874 and 6880 is 23646560.